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Finding the Fourth Proportional to 138,469.64, 191,082.58 and 78,052.82

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Solution

The fourth proportional to 138,469.64, 191,082.58 and 78,052.82 is: 107,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,469.64 : 191,082.58 = 78,052.82 : x
  2. Step 2: Convert to fraction form
    138,469.64/191,082.58 = 78,052.82/x
  3. Step 3: Cross multiply
    138,469.64x = 191,082.58 × 78,052.82
  4. Step 4: Simplify right side
    138,469.64x = 14,914,533,071.33
  5. Step 5: Solve for x
    x = 14,914,533,071.33/138,469.64
  6. Step 6: Final answer
    x = 107,709.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.